Dispersive estimates for the three-dimensional Schroedinger equation with rough potentials

Details Dispersive estimates for the three-dimensional Schroedinger equation with rough potentials Dispersive estimates for the three-dimensional Schroedinger equation with rough potentials

2004-07-19

arxiv.org/abs/math/0407331v1

Amer. J. Math. 128 (2006) 731-750.

Mathematics

Analysis of PDEs

17 pages

Scientific paper

We prove L^1 --> L^\infty estimates for the linear Schroedinger equation in
three dimensions. The potential is assumed to belong to certain L^p spaces, but
no pointwise decay estimates and no additional regularity is required.

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